Stability of explicit Navier-Stokes procedures using \(k-\varepsilon\) and \(k-\varepsilon\)/algebraic Reynolds stress turbulence models
This paper presents a numerical stability analysis of explicit Navier- Stokes procedures using a two-equation \(k-\epsilon\) turbulence model. The motivation and stability implications of numerical coupling the turbulence transport equations to the mean flow equations are analyzed and discussed. Next von Neumann stability analysis of seven discrete equations is undertaken and some local stability results are obtained. Order of magnitude arguments is applied to these results. Also some practical experiences and ad hoc strategies are detailed.
scientific article; zbMATH DE number 98362
scientific article